S. Panja

activity

20212026

most citedThe image of polynomials and Waring type problems on upper triangular matrix algebras

13 citations · 15 across the 26 of their papers we have counts for

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Showing 2024Show all

5 papers · 1 filter

math.GR2024

A survey on power maps in groups

Saikat Panja, Anupam Singh

The study of word maps on groups has been of deep interest in recent years. This survey focuses on the case of power maps on groups; $v i z .$ the map $x \mapsto x^{M}$ for a group $G$ ,…

math.GR2024

Word maps, polynomial maps and image ratios

Saikat Panja

If $A$ is a finite group (or a finite ring) and $ω$ is a word map (or a polynomial map), we define the quantity $∣ ω (A) ∣/∣ A ∣$ as the image ratio of $ω$ on $A$ and will be denoted by…

math.GR2024

Fibers of the square map in some finite groups of Lie type and an application

Saikat Panja

Let $G$ be one of the finite general linear, unitary, symplectic or orthogonal groups over finite fields of odd order. We find the cardinality of the fibers of the square map at a…

math.GR2024

Character covering number of $PSL_{2} (q)$

Namrata Arvind, Saikat Panja

For a group $G$ and a character $χ$ of $G$ , let $c (χ)$ denote the set of all irreducible characters of $G$ , occurring in $χ$ . We prove that whenever $q \geq 8$ , all non-trivial irre…

math.GR2024

Roots of identity in finite groups of Lie type

Saikat Panja

Given an integer $M \geq 2$ , we deploy the generating function techniques to compute the number of $M$ -th roots of identity in some of the well-known finite groups of Lie type, more…

A survey on power maps in groups

Word maps, polynomial maps and image ratios

Fibers of the square map in some finite groups of Lie type and an application

Character covering number of PSL2​(q)

Roots of identity in finite groups of Lie type

Character covering number of $PSL_{2} (q)$